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This Demonstration shows complex waves of varying shape, amplitude, frequency, phase velocity, and group velocity, moving in one dimension.

This Demonstration shows the complex wave

that is the sum of five waves

The real and imaginary parts of

are plotted against

The phase velocity is given for waves 1 (

) and 5 (

The group velocity is approximated by

and is only valid with "beat" or "wave packet" selected.

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A Complex Wave in One Dimension